   Chapter 10.5, Problem 108E Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203

Solutions

Chapter
Section Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203
Textbook Problem

Let F ( t ) represent the net earnings of Footbook, Inc. in millions of dollars t years after its inception in 3020. It is found that F ( 100 ) = − 10  and  F ′ ( 100 ) = 60 . This means that, in 3120 (multiple choice),(A) Footbook lost $10 million, but its net earnings were increasing at a rate of$60 million per year.(B) Footbook earned $60 million, but its earnings were decreasing at a rate of$10 million per year.(C) Footbook’s net earnings had increased by $60 mil- lion since the year before, but it still lost$10 million.(D) Footbook earned $10 million, but its net earnings were decreasing at a rate of$60 million per year.(E) Footbook’s net earnings had decreased by $10 million since the year before, but it still earned$60 million.

To determine

The correct choice out of following options that would be true in 3120 provided that the function F(t) expresses the total earning of Footbook Inc. (in million) in t years after 3020. The value of F(100)=10 and F(100)=60.

Explanation

Given information:

The function F(t) express the total earning of Footbook Inc. (in million) in t years after 3020. The value of F(100)=10 and F(100)=60.

The options are:

A) Footbook lost $10 million, but its net earnings were increasing at a rate of$60 millions per year

B) Footbook earned $60 million, but its earnings were decreasing at a rate of$10 millions per year

C) Footbook’s net earning had increased by $60 million since the year before, but it still lost$10 million.

D) Footbook earned $10 million, but its net earnings were decreasing at a rate of$60 millions per year

E) Footbook’s net earning had decreased by $10 million since the year before, but it still earned$60 million.

Consider the function F(t) that represents the total earning of Footbook Inc

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